Green's functions analysis of planar circuits in a two-layer grounded medium

Fast Computation of the Dyadic Green's Function for Layered Media via Interpolation

“…The pole existing at in the integrand is fictitious, and it can be shown that it would be canceled out in the terms described in ( 6)- (10). In solving a MoM problem, the resulting impedance matrix problem becomes (4) 1536-1225/$26.00 © 2010 IEEE Expanding out the inner product and shifting around the derivatives (5) with the terms defined as follows:…”

“…Some works have only focused upon specific cases for interpolation. In [5] and [6], interpolation was applied for the case of planar structures. In papers discussing more general applications, like [7] and [8], the case of three-dimensional (3D) scatterers that penetrate an interface are confined to a half-space problem, ignoring the additional terms that arise when embedded between layers.…”

Discrete Complex Image Mixed-Potential Integral Equation Analysis of Microstrip Patch Antennas with Vertical Probe Feeds

“…In the modeling of microstrip structures by frequency-domain integral equation methods (Mosig 1989;Michalski and Zheng 1992;Chang and Zheng 1992;Monferrer et al 1992), one must repeatedly evaluate Sommerfeld integrals that arise in the layered medium Green functions, which may be a very time-consuming process. The most recent approach to tackle this problem is the discrete complex image method (DCIM) (Fang et al 1988;Chow el al.…”

Adaptive frequency sampling using linear Bayesian vector fitting

“…The cost of the advantages is that for every sample of r k and d that is drawn, an eigenvalue problem must be solved and a QR decomposition performed to find the corresponding poles and residues, though the computational cost involved is usually negligible with respect to the EM-simulation cost. Example: The proposed method is applied to the double semi-circular patch antenna [2,7] shown in Fig. 2.…”